Question

Drag the values into the boxes to classify each number as rational or irrational.

Answer 1

A rational number is any number that can be expressed as a whole number, a fraction, or as a non repeating decimal. Otherwise, it is an irrational number. 
19/5: it is a rational number because it is in fraction form
√12: this is an irrational number
√49: this is a rational number because when you simplify this you will get the answer 7, that is a whole number.
0.3425563758:  This is a decimal, hence, this is rational.
4/25 :  it is a fraction so it is a rational number.
√1/8: this is an irrational number
√0.6¯: this is an irrational number

Answer 2

@Ahmedishaal, was partly correct...

$\frac{19}{5}$ = Rational

$\sqrt{49}$ = Rational

0.3425563758 = Rational

0.6 = Rational

and $\sqrt{\frac{4}{25} }$ = Rational

$\sqrt{12}$ = Irrational

and $\sqrt{\frac{1}{8} }$ = Irrational

(I know this because I took the test 10 seconds ago.)